What is the 5521st prime number?
The 5521st prime number is 54277. The next prime is 54287 (a gap of 10) and the one before is 54269.
Position
Pick any whole number from 1 to 10,000.
How to work it out
- 1
List the primes in order: 2, 3, 5, 7, 11, 13, ā¦ The 5521st one is 54277.
- 2
54277 is prime because no prime up to ā54277 ā 232.97 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5521st prime is close to 5521 Ć ln(5521) ā 47571, and here it is 54277.
- 4
54277 has no twin: neither 54275 nor 54279 is prime.
Primes around the 5521st
| Position | Prime | Gap from the previous |
|---|---|---|
| 5518 | 54217 | 24 |
| 5519 | 54251 | 34 |
| 5520 | 54269 | 18 |
| 5521 | 54277 | 8 |
| 5522 | 54287 | 10 |
| 5523 | 54293 | 6 |
| 5524 | 54311 | 18 |
Questions
What is the 5521st prime number?
54277.
Which prime number is 54277?
54277 is the 5521st prime number.
What is the sum of the first 5521 primes?
141,235,664.